$\ln\left(x^8\sqrt{5-x}\right)$
$xy\frac{dy}{dx}-y=-y^3$
$\int\frac{1}{2x\sqrt{x^2-\frac{1}{4}}}dx$
$4\left(x-1\right)^2+8$
$\lim_{x\to1}\left(\frac{3x^2+2x-1}{2x-1}\right)$
$\frac{1}{sec\left(-y\right)tan\:y}=\:cscy\:-\:sin\:y$
$-2\cos\left(x\right)^2+3\cos\left(x\right)-1$
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